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A $\mathcal C^{2,α}$ estimate of the complex Monge-Ampère equation
Published 24 May 2017 in math.DG | (1705.08634v1)
Abstract: In this paper, we prove a $\mathcal C{2,\alpha}$-estimate for the solution to the complex Monge-Amp`ere equation $\det(u_{i\bar{j}})=f$ with $0< f\in \mathcal C{\alpha}$, under the assumption that $u\in \mathcal C{1,\beta }$ for some $\beta <1$ which depends on $n$ and $\alpha $.
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